Answer:
5x^2 + 7x + 30 + 102/x-3
Step-by-step explanation:
_________________
x-3| 5x^3 - 8x^2 + 9x + 12
First you would want to set it up as either long polynomial division or using synthetic division. Whichever one is easier for you. However, I am going to use long polynomial division since you might not be familiar with synthetic division just yet.
_5x^2_____________
x-3| 5x^3 - 8x^2 + 9x + 12 Because 5x^3 divided by x gives you 5x^2
- (5x^3 - 15x^2)______ and -3 times 5x^2 gives you -15x^2
0 + 7x^2 +9x But since the negative is outside the parentheses then you distribute it turning he -15x^2 it into +15x then adding it to the -8x^2 above it thus giving you 7x^2. Afterwards bring down the 9x.
A negative times a negative is a positive (just as a reminder)
Next,
_5x^2+7x_________
x-3| 5x^3 - 8x^2 + 9x + 12
- (5x^3 - 15x^2)______ 7x^2 divided by x gives you 7x
0 + 7x^2 + 9x
- (7x^2 - 21x)___ and 7x times -3 gives you -21x
0 + 30x +12 you distribute the negative in the parentheses again.
Then,
_5x^2 +7x +30____
x-3| 5x^3 - 8x^2 + 9x + 12
- (5x^3 - 15x^2)______
0 + 7x^2 + 9x
- (7x^2 - 21x)___
0 + 30x + 12 30x divided by x gives you 30.
- (30x - 90) Distribute the negative again.
0 + 102 102 is the remainder.
When writing remainders in long polynomial equations, it is expressed by writing the remainder over the divisor. Which is 102/x-3.
So the answer is 5x^2 + 7x + 30 + 102/x-3.
Complete the equation of this circle:
If you can help that would be appreciated
Answer:
(x-3)^2+(y-2)^2=16
Step-by-step explanation:
center is (3,2)
radius is 4
What are the values of a and b
Answer:
a equal to five.b equal to three
b=3
i lowky need this question not an fake answer !
Answer:
is there a graph that shows where the point is? I can’t help without a graph
Step-by-step explanation:
A circle has a radius of 67 centimeters. What is its circumference in
terms of ?
Answer:
134π
Step-by-step explanation:
c = 2πr
c = 2π(67)
c = 134π
Which of the following polynomials is in standard form?
Answer:
right! it's B
Step-by-step explanation:
-----------------
qqqqqqqqqnxkkakakzmmz
Answer:
If in rectangular coordinates we have a point (x, y), then the angle defined between the x-axis and a ray that connects the point with the origin is defined by:
Tan(θ) = y/x
Cos(θ) = x/(√(x^2 + y^2))
Sin(θ) = y/(√(x^2 + y^2))
Ctg(θ) = x/y
Sec(θ) = √(x^2 + y^2)/x
Csc(θ) = √(x^2 + y^2)/y
Ok, now we have all the equations.
We know that:
Sec(C) = 30/24
Then:
√(x^2 + y^2) = 30
x = 24
Replacing x in the first equation we get:
√(24^2 + y^2) = 30
y = √(30^2 - 24^2) = 18
Then we have:
x = 24
y = 18
√(x^2 + y^2) = 30
So we can just replace these in the equations:
Tan(C) = y/x = 18/24
Cos(C) = x/(√(x^2 + y^2)) = 24/30
Sin(C) = y/(√(x^2 + y^2)) = 18/30
Ctg(θ) = x/y = 24/18
Sec(θ) = √(x^2 + y^2)/x = 30/24
Csc(θ) = √(x^2 + y^2)/y = 30/18
How am I supposed to solve this? There is no table, am I missing something?
Answer:
What table were you looking for?
Step-by-step explanation:
I’ve actually never seen a problem like this either.
Slove for the value of m
Answer:
m = 6
Step-by-step explanation:
(8m+4) + 38 = 90 ( since they are complementary angles )
8m + 42 = 90
8m = 90 - 42
m = 48/8
m = 6
Answer:
38+8m+4=90 degree(being perpendicular)
42+8m=90
8m=90-42
m=48/8
m=6
Step-by-step explanation:
A child’s shoe box measures 4" by 6" by 3". What is the longest pencil you could fit into this box?
Answer:
5in
Step-by-step explanation:
Given data
Lenght= 4 in
Width= 6 in
Height= 3 in
Applying the Pythagoras theorem,
Let the longest pencil that could fit in be z
z^2= l^2+ h^2
z^2= 4^2+ 3^2
z^2= 16+9
z^2= 25
z= √25
z= 5 in
Hence the longest pencil is 5in
Find the distance between the two points (-2,5) (4,-2)
Answer:
6,7
Step-by-step explanation:
HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII68052wassupcan someonetell me whats 1+1 PLZZZZZZZZZZZZZZZZZZZZZZZZZ im so confused plz help
Answer:
yooooooo its 2
Step-by-step explanation:
200 shares of a stock were bought for $58 per share the broker's
commission was $40 plus $0.25 / share. The stock was later sold for $66/
share the broker's commission was $50 plus $0.32/ share. Calculate the
profit from the sale
$1596
$1000
$1396
$1624
Answer:
1396
Step-by-step explanation:
Profit= revenue-cost
Let's start off by calculating the revenue (the amount they get when they sold the stock) 200*66=13200
Now we need to calculate the cost
40+50+200(.32+.25+58)=11804
13200-11804=1396
Answer:C is correct
Step-by-step explanation:
200*58= 11600
Commission = 40+ (200*0.25)
Commission = 90
Total = 11690
Sell
200*66= 13200
Commission 50+ (0.32*200)
Commission = 114
Sell for 13200-114 = 13086
Profit = 13086 - 11690
Profit = 1396
It is helpful
Solve proportion round it to the nearest hundredth
Answer:
7.7 = 2.3
3.6 b
7.7b= 8.28
7.7 7.7
b = 1.075324675
b = 1.08
A) If the last digit in the fractional part of 1.080 is less than 5, then simply remove the last the digit of the fractional part. With 1.080, rule A applies and 1.08 rounded to the nearest hundredth is:
Please answer number 5 for brainliest:)
Write 40 % as a decimal and as a simplified fraction.
A.4.0 and 40/100
B. 0.40 and 2/5
C. 4,000 and 4,000/1
D. 0.40 and 40/100
Answer:
B. 0.40 and 2/5
[tex]40\% = \frac{40}{100} \\ = \frac{2}{5} \: and \: 0.4[/tex]
Answer:
B
Step-by-step explanation:
A and C are instantly eliminated since the decimal is wrong. B has the most simplified fraction of 40%.
The perimeter of a square is 4a. What is the area of the
square?
Answer:
a^2
Step-by-step explanation:
a is the side and the area is a^2
Mai and Elena are shopping for back-to-school clothes. They found a skirt that originally cost $30 on a 15% off sale rack. Today, the store is offering an additional 15% off.
To find the new price of the skirt, in dollars, Mai says they need to calculate 30. 0.85 0.85. Elena says they can just multiply 30.0.70.
1. How much will the skirt cost using Mai's method?
2. How much will the skirt cost using Elena's method?
3. Explain why the expressions used by Mai and Elena give different prices for the skirt.
Answer:
Mai
Step-by-step explanation:
1. 21.675 R $22
2. $21
Mai is the correct method because 15%-100%=85, which shows the percentage that is left to multiple. Then she multiples 0.85 times 2 as she was able to take off 15% twice. Elena's is incorrect because she added the two 15% off and subtracted that by 100 giving her 70. Which is the incorrect decimal to multiple by. Hope this helps.
Go check out Quelenasboutique on Etsy
5. Ms. Brown's flight left at 9:20 A.M. Her plane landed 1 hour and 23 minutes later. What time did her plane land?
asap please thank you so much
Answer:
the plane landed at 10:43 A.M
An antique chair was purchased in the year 2013 for $500. At the time of purchase, an appraiser estimated that
the value would increase by 10% every year. Which of the following functions can be used to model the
estimated dollar value of the chair years after purchase?
(A) f(t) = 500(0.1)
(B) f(t) = 500(0.9)
(C) f(t) = 500(1.1)
(D) f(t) = 500(10)
(E) f(t) = 510+
Answer:
A
Step-by-step explanation:
To find 10% of 500 you would multiply 500 by 0.1
1. Find the approximate volume of a sphere with a diameter of 12cm
2. Find the approximate volume of a cone with a diameter of 14cm and a height of 9 cm
Answer:
si simon chavon
Step-by-step explanation:
Y=cosx what will will dy/dx be
9514 1404 393
Answer:
y' = -sin(x)
Step-by-step explanation:
Your table of derivatives of trig functions tells you the derivative of the cosine is the opposite of the sine.
dy/dx = -sin(x)
Answer:
[tex]→y = \cos(x) \\ \boxed{\frac{dy}{dx} = - \sin(x) }✓[/tex]
dy/dx=-sin(x) is the right answer.If someone can help me with this I’ll mark you Brainlyest
Answer: For 1
B
Step-by-step explanation:
15,700/ 1/4= 15,700-3,925-3,000/12 =731.25
What value of x satisfies this equation?
log(2x)=2
Answer:
[tex] log(2x) = 2 \\ 2x = {10}^{2} \\ 2x = 100 \\ x = 50[/tex]
The value of x that satisfies this equation log(2x) = 2 is 50
How to determine the value of x?The equation is given as:
log(2x) = 2
Change the equation to an exponential equation
2x = 10^2
Evaluate the exponent
2x = 100
Divide both sides by 2
x = 50
Hence, the value of x that satisfies this equation log(2x) = 2 is 50
Read more about equations at:
https://brainly.com/question/2972832
#SPJ2
a candy machine holds 500 pieces of candy, 20%, percent of which are blue. customers get an srs of 4 pieces of candy per purchase from this machine. let b, equals the number of blue candies a customer gets in a purchase from a full machine. which of the following would find p(b=1)?
Answer:
p(b = 1) = 0.4096 = 40.96%
Step-by-step explanation:
For each candy, there are only two possible outcomes. Either it is blue, or it is not. The probability of a candy being blue is independent of any other candy. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20% are blue
This means that [tex]p = 0.2[/tex]
Sample of 4
This means that [tex]n = 4[/tex].
Which of the following would find p(b=1)?
P(X = 1). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{4,1}.(0.2)^{1}.(0.8)^{3} = 0.4096[/tex]
So, p(b = 1) = 0.4096 = 40.96%
Answer: (4 1)(0.20)(0.80)^3
Step-by-step explanation:
what is the value of 5.4
54 tenths
54 hundredths
54 ones
540 tenths
Answer:
The third option if you ment to type 54 and not 5.4 if you meant 5.4 then that would be 5 and four tenths.
Step-by-step explanation:
Hope this helps ❤️
IF U GET CORRECT U GET BRAINLIEST
The last five houses built in town sold for the prices shown below. Find the mean price. Use pencil and paper. If a new house built in the town sold for $160,000, how would that affect the mean?
prices: $181,00; $187,00; $144,00; $176,00; $175,00
what is the mean price of the houses??
Answer:
172,600
Step-by-step explanation:
hii so basically the mean is the same as average so add all together and divide by how many prices in this case there originally were
so 181,000+187,000+144,000+176,000+175,000=863,000
then divide by 5
863,000/5=172,600
hope this helped !
Which graph represents function g if g(x)=f(2x)
The new function g(x) which is equal to f(2x) will be stretched or compressed by the factor 2.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function f(x) shown in the coordinate plane.
The function g(x) = f(2x)
As we can see in the new function g(x) it is the transformation of the f(x).
Transformation is applied as below:
x → 2x (x is replaced by the twice of it)
= f(x)
= f(2x)
= g(x)
When the function is multiplied by a positive number it will be stretched or compressed according to that factor vertically and in the given function the factor is 2 which means the g(x) will be stretched or compressed according to that factor.
Thus, the new function g(x) which is equal to f(2x) will be stretched or compressed by the factor 2.
Learn more about the function here:
brainly.com/question/5245372
Which of the following points represent the zeroes of the function y=x^2+9
PLZ HELP NO LINK THIS IS EXTRA CREDIT BC IM FAILING OR I WILL HAVE NO SUMMER!!!!!
Answer:
Pretty sure its E sorry if I'm wrong I learned this like 2 years aho
If you help me l will give you the brainlest ☑️☑️
Answer:
64 (if 4 x 4 x 4) or
12 (it could be any of them)
Step-by-step explanation:
Since "3" is related to l x w x h.
You can either do 4 x 4 x 4
or
4 x 3
It depends what formula (aka L x W x H).
Answer:
64
Step-by-step explanation:
= [tex]4^{3}[/tex]
= (4) * (4) * (4)
= 64
Hope this helps :)